Psychology strikes me as problematic. Most character motivation in any run of the mill narrative is going to be 'psychological'. Because the pattern of character reactions to the narrative stimuli (the event in the story) is essentially a psychological cross section of that character. Watch any Hitchcock, or more recently a James Grey...
Action is character, as the writer Syd field put it. But that basically means that the characters' psychology is inherent in what they do. So asking fo a film that is based on psychology is basically asking if a film has a story to tell. Even if it means that life is absurd, as Antonioni would have you believe.